Modeling of dependence in a peer-to-peer video application

  • Authors:
  • Natalia M. Markovich

  • Affiliations:
  • Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Proceedings of the 6th International Wireless Communications and Mobile Computing Conference
  • Year:
  • 2010

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Abstract

We consider the underlying network characteristics of an IPTV trace. The pairwise dependence in a triple (X, Y, R) denoting the inter-arrival time between packets, the packet length and the rate of transmission in a peer-to-peer IPTV session is detected and modeled. The three quantities are related by R = Y/X. We argue that the inter-arrival time and the packet length as well as the rate and the packet length are dependent, and the rate and the inter-arrival time are almost independent random variables. The Pickand's function and an empirical copula are used as measures of dependence. A Clayton copula provides an appropriate model of all underlying pair-wise dependencies.